1.

Find the roots of 2x2 + 5/3 x – 2 = 0 by the factorisation of the corresponding quadratic polynomial.

Answer»

Given, 2x2 + 5/3 x  - 2 = 0

⇒ 6x2 + 5x – 6 = 0

By splitting the middle term,

⇒ 6x2 + 9x - 4x – 6 = 0

Taking common in the expression,

⇒ 3x (2x + 3) – 2 (2x + 3) = 0

⇒ (2x + 3) (3x - 2) = 0

 2x + 3 = 0 and  3x – 2 = 0

∴ x = -3/2 and ∴ x = 2/3



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